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Weak convergence in the near unit root setting

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  • Bailey, N.
  • Giraitis, L.

Abstract

We establish asymptotic normality for sums of triangular arrays of near integrated linear processes with martingale difference innovations. The results are obtained under minimal conditions. We also obtain weak convergence of the corresponding partial sum processes. The results are applicable to near unit root settings in statistical and econometric applications.

Suggested Citation

  • Bailey, N. & Giraitis, L., 2013. "Weak convergence in the near unit root setting," Statistics & Probability Letters, Elsevier, vol. 83(5), pages 1411-1415.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:5:p:1411-1415
    DOI: 10.1016/j.spl.2013.01.029
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    References listed on IDEAS

    as
    1. Liudas Giraitis & Peter C. B. Phillips, 2006. "Uniform Limit Theory for Stationary Autoregression," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(1), pages 51-60, January.
    2. Phillips, Peter C.B. & Magdalinos, Tassos, 2007. "Limit theory for moderate deviations from a unit root," Journal of Econometrics, Elsevier, vol. 136(1), pages 115-130, January.
    3. Giraitis, Liudas & Phillips, Peter C.B., 2012. "Mean and autocovariance function estimation near the boundary of stationarity," Journal of Econometrics, Elsevier, vol. 169(2), pages 166-178.
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